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Finding the Fourth Proportional to 514,404.96, 709,862.72 and 284,952.96

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Solution

The fourth proportional to 514,404.96, 709,862.72 and 284,952.96 is: 393,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,404.96 : 709,862.72 = 284,952.96 : x
  2. Step 2: Convert to fraction form
    514,404.96/709,862.72 = 284,952.96/x
  3. Step 3: Cross multiply
    514,404.96x = 709,862.72 × 284,952.96
  4. Step 4: Simplify right side
    514,404.96x = 202,277,483,257.65
  5. Step 5: Solve for x
    x = 202,277,483,257.65/514,404.96
  6. Step 6: Final answer
    x = 393,226.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.